The New Orleans Saints haven't been afraid to pull off a draft-day trade or two in the past, and there's been some small chatter the Saints may do so this year as well.

The Miami Dolphins have reached out to a handful of teams, including the Saints, to trade back in the first round, according to the Miami Herald. The Dolphins hold the No. 19 overall pick in Thursday's first round of the 2014 NFL draft, while the Saints sit at No. 27 overall.

It appears Miami is the team making the calls, as it reportedly reached out to Philadelphia (No. 22), Cleveland (No. 26) and San Francisco (No. 30).

The Saints have moved around twice in the first round since Sean Payton became the head coach. In 2008, the Saints traded up to No. 7 overall from No. 10 to select defensive tackle Sedrick Ellis. New Orleans traded back into the first round in 2011 by giving New England its second-round pick and first rounder in 2012 to take running back Mark Ingram at No. 28 overall.